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mathematical olympiad

Solutions to Chinese Mathematical Olympiad(CMO) 2013

January 15, 2013May 24, 2018 - by zyymat - Leave a Comment

一. (1) 显然 \[\angle CAE=\angle CBE=\angle DBF=\angle DAF,\] 结合 \(l_1\) 是 \( CD\) 的中垂线, 可得 \(l_1\) 是 \(\angle EAF\) 的角平分线, 这揭示 \(l_1\) 与 \(l_2\) 必有公共点. 因为圆 \(K_1\) 与 \(K_2\) 半径不相等, 因此 \(l_1\) 与 \(l_2\) …

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mathematical olympiad

Chinese Mathematical Olympiad(CMO) 2013

January 12, 2013October 6, 2014 - by zyymat - Leave a Comment

2013 年中国数学奥林匹克  第一天 2013 年 1 月 12 日    8:00-12:30    辽宁  沈阳  一.  如图, 两个半径不相等的圆 \(K_1\) 与 \(K_2\) 交于 \(A, B\) 两点, \(C, D\) 两点分别在\(K_1, K_2\) 上, 且线段 \(CD\) …

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